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Kamila [148]
3 years ago
8

Point G is the centroid of the right △ABC with hypotenuse AB=18 in. Find CG.

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0
<h3>Answer:</h3>

6 in

<h3>Explanation:</h3>

Let M be the midpoint of AB. ∆CMB and ∆CMA are both isosceles triangles, so CM = (AB)/2 = 9 in.

CG = (2/3)(CM) = (2/3)(9 in)

CG = 6 in

_____

<em>Comment on centroid and median</em>

The centroid of a triangle is located 1/3 the distance from the midpoint of a side to the opposite vertex. This is true for any median in any triangle. The proof can be developed from the fact that every median divides the triangle's area in half. Here, we just take advantage of this fact.

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A right triangle (90) has a one angle that measures 35 degrees. What is the measure of the third angle?
pychu [463]

Answer:

55°

Step-by-step explanation:

triangle= 180°

third angle= 180-90-35

= 55°

4 0
2 years ago
The ratio of workers to supervisors and factories 32 to 2. The ratio of male workers to female workers is 6 to 5. If there are 8
Margarita [4]

Answer:

The number of supervisor in the factory is 9 .

Step-by-step explanation:

Given as :

The ratio of workers to supervisors and factories 32 : 2

let the number of workers = 32 x

And The number of supervisors = 2 x

The ratio of male workers to female workers is 6:5

Let The number of male workers = 6 y

And The number of female worker = 5 y

The number of female workers at the plant = 80

So, 5 y = 80

∴  y = \frac{80}{5}

I.e y = 16

So, The number of male workers = 6 y = 6 × 16 = 96

Thus The Total number of worker in the factory =  The number of male workers + The number of female workers at the plant

Or, The Total number of worker in the factory = 96 + 80 = 146

Now , Again

∵ The ratio of workers to supervisors in factories 32 : 2

So, The number of workers = 32 x

I.e 146 = 32 x

∴ x = \frac{146}{32} = 4.5

So, The number of supervisors = 2 x = 2 × 4.5 = 9

Hence The number of supervisor in the factory is 9 . Answer

3 0
3 years ago
Read 2 more answers
Which list contains three multiples of 9?
max2010maxim [7]

Answer:

A

Step-by-step explanation:

9 * 7 = 63

9 * 8 = 72

9 * 10 = 90

6 0
3 years ago
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Are 5/3 and 1 2/3 equivalent?
Semmy [17]

Answer:

Yes.

Step-by-step explanation:

3/3 is equal to 1. If you add 3/3 to 2/3, you get 5/3, which means that yes, they are equivalent.

7 0
3 years ago
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How many sides do 1 triangle, 1 decagon, and 5 pentagons have in all?
gregori [183]

Answer:38

Step-by-step explanation:

triangle=3*1=3

decagon=10*1=10

pentagon=5*5=25

3+10+25=38

3 0
3 years ago
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